8,006,648

2³ × 13 × 167 × 461

Starting at 8,006,648, the Collatz iteration reaches 1 after 305 steps. The first transition is 4003324; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 13 × 167 × 461

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 16,299,360

Proper Divisor Sum 8,292,712

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #8006641 ← → #8006651

Radix Representation

Decimal	8006648
Binary	11110100010101111111000 (23 bits)
Octal	0o36425770
Hexadecimal	0x7A2BF8

Divisor Catalog (32)

1 2 4 8 13 26 52 104 167 334 461 668 922 1,336 1,844 2,171 3,688 4,342 5,993 8,684 11,986 17,368 23,972 47,944 76,987 153,974 307,948 615,896 1,000,831 2,001,662 4,003,324 8,006,648

Collatz Trajectory (305 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

8,006,648 4,003,324 2,001,662 1,000,831 3,002,494 1,501,247 4,503,742 2,251,871 6,755,614 3,377,807 10,133,422 5,066,711 15,200,134 7,600,067 22,800,202 11,400,101 34,200,304 17,100,152 8,550,076 4,275,038 2,137,519 6,412,558 3,206,279 9,618,838 4,809,419 14,428,258 7,214,129 21,642,388 10,821,194 5,410,597 16,231,792 8,115,896 4,057,948 2,028,974 1,014,487 3,043,462 1,521,731 4,565,194 2,282,597 6,847,792 3,423,896 1,711,948 855,974 427,987 1,283,962 641,981 1,925,944 962,972 481,486 240,743 722,230 361,115 1,083,346 541,673 1,625,020 812,510 406,255 1,218,766 609,383 1,828,150

← Previous Integer #8,006,647 Browse Full Index Next Integer #8,006,649 →